Least Common Multiple of 5629 and 5633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5629 and 5633 the smallest integer that is 31708157 that is divisible by both numbers.
Least Common Multiple (LCM) of 5629 and 5633 is 31708157.
LCM(5629,5633) = 31708157
LCM of 5629 and 5633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5629 and 5633 by Prime method
- Least Common Multiple of 5629 and 5633 with GCF Formula
LCM of 5629 and 5633 is 31708157
Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5633. First we will calculate the prime factors of 5629 and 5633.
Prime Factorization of 5629
| 13 | 5629 |
| 433 | 433 |
| 1 |
Prime factors of 5629 are 13,433. Prime factorization of 5629 in exponential form is:
5629 = 131×4331
Prime Factorization of 5633
| 43 | 5633 |
| 131 | 131 |
| 1 |
Prime factors of 5633 are 43,131. Prime factorization of 5633 in exponential form is:
5633 = 431×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5633.
LCM(5629,5633) = 131×431×1311×4331
LCM(5629,5633) = 31708157
Factors of 5629
List of positive integer factors of 5629 that divides 5629 without a remainder.
1, 13, 433, 5629
Factors of 5633
List of positive integer factors of 5633 that divides 5633 without a remainder.
1, 43, 131, 5633
Least Common Multiple of 5629 and 5633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5629 and 5633, than apply into the LCM equation.
GCF(5629,5633) = 1
LCM(5629,5633) = ( 5629 × 5633) / 1
LCM(5629,5633) = 31708157 / 1
LCM(5629,5633) = 31708157
Properties of LCM 5629 and 5633
(i) The LCM of 5633 and 5629 is associative
LCM of 5629 and 5633 = LCM of 5633 and 5629
Related Least Common Multiples of 5629
Related Least Common Multiples of 5633
Frequently Asked Questions on LCM of 5629 and 5633
1. What is the LCM of 5629 and 5633?
Answer: LCM of 5629 and 5633 is 31708157.
2. What are the Factors of 5629?
Answer: Factors of 5629 are 1, 13, 433, 5629. There are 4 integers that are factors of 5629. The greatest factor of 5629 is 5629.
3. What are the Factors of 5633?
Answer: Factors of 5633 are 1, 43, 131, 5633. There are 4 integers that are factors of 5633. The greatest factor of 5633 is 5633.
4. How to Find the LCM of 5629 and 5633?
Answer:
Least Common Multiple of 5629 and 5633 = 31708157
Step 1: Find the prime factorization of 5629
5629 = 13 x 433
Step 2: Find the prime factorization of 5633
5633 = 43 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31708157 = 13 x 43 x 131 x 433
Step 4: Therefore, the least common multiple of 5629 and 5633 is 31708157.